Add 5/16 and 14/49
5/16 + 14/49 is 67/112.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 16 and 49 is 784
Next, find the equivalent fraction of both fractional numbers with denominator 784 - For the 1st fraction, since 16 × 49 = 784,
5/16 = 5 × 49/16 × 49 = 245/784 - Likewise, for the 2nd fraction, since 49 × 16 = 784,
14/49 = 14 × 16/49 × 16 = 224/784 - Add the two like fractions:
245/784 + 224/784 = 245 + 224/784 = 469/784 - 469/784 simplified gives 67/112
- So, 5/16 + 14/49 = 67/112
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 10/16+14/49 5/16+28/49 5/32+14/49 5/16+14/98 15/16+14/49 5/16+42/49 5/48+14/49 25/16+14/49 5/16+70/49 5/80+14/49 35/16+14/49 5/16+98/49